"I Wanna Make Her Love Me" is the correct title, as sung by Stevie Wonder on his FOR ONCE IN MY LIFE album (and apparently by no-one else at Motown, according to Don't Forget The Motor City). I don't know the background to The Rumour's version, so I don't know whether their change to the lyric was accidental or intentional, but perhaps Jobete Music insisted on the correct title being used on this American release?
After exhaustive and diligent research, along with a needed adjustment of my merkin, I have found the rumored answer to your inquiry pppint. They sing "I'm gonna make you love me" often with a bovine overview (until the cows come home). Why the U.S. title change, who knows?
@thedroid do you know whether they actually sing "i wanna make her love me" as per lp label & sleeve track-listing, rather than "i'm gonna make you love me", on this merkin lp - i.e, whether it is a different track (or vocal take), or the same track with a different title - ?